IB Maths AI HL Topic 4: Statistics and probability questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

Paper

Paper 1 Paper 2

Difficulty

Easy Medium Hard

Question 1

Paper 2Easy5 marks

A school surveys 50 students about how they travelled to school on a particular day. Of these students, 23 travelled by bus, 19 travelled by train, and 8 used both the bus and the train.

One student is selected at random from the 50 students.

(a)

Find the probability that the student travelled by bus or train.

[2]

(b)

Find the probability that the student travelled by neither bus nor train.

[1]

(c)

Given that the student travelled by bus, find the probability that the student also travelled by train.

[2]

Question 2

Paper 2Medium5 marks

At a parcel centre, $X$ is the excess handling time, in minutes, for a randomly selected parcel. Figure 1 shows the probability distribution of $X$

(a)

Calculate $\mathrm{E}(X)$ and $\mathrm{Var}(X)$

[3]

(b)

For a parcel with excess handling time $X$ the additional handling charge $Y$ in AUD, is modelled by $Y=3X+2$ Hence determine $\mathrm{E}(Y)$ and $\mathrm{Var}(Y)$

[2]

The best questions are still waiting

Unlock every question in this topic, then type, photograph or draw your answer and have it marked against the markscheme. Find out where you are dropping marks.

Unlock all questions Compare Student and Student Plus